The Model Theory of Algebraically Closed Fields

Mathematics;model theory;fields;algebraically closed;dimension;Morley rank

Cook, Daniel

University of Waterloo

关键词: Mathematics;    model theory;    fields;    algebraically closed;    dimension;    Morley rank;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/1066/1/dwpcook2000.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

Model theory can express properties of algebraic subsets of complex n-space.The constructible subsets are precisely the first order definable subsets, and varieties correspond to maximal consistent collections of formulas, called types.Moreover, the topological dimension of a constructible set is equal to the Morley rank of the formula which defines it.